Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
99 Percentile Qs Bank for JEE MainPhysicsAlternating Current

An R-L-C circuit consists of a 150 resistor, 20 F capacitor and a 500 mH inductor connected in series with a 100 ~V AC supply. The angular frequency of the supply voltage is 400 rad s ⁻¹ . The phase angle between current and the applied voltage is

Options

  1. A⁻¹(0.8)
  2. B⁻¹(0.25)
  3. C⁻¹(0.6)
  4. D⁻¹(0.5)

Correct answer

D. ⁻¹(0.5)

Step-by-step solution

In R-L-C series circuit aligned R=150 , C & =20 F & =2 10⁻⁵ ~F aligned L=500 mH =0.5 H Supply voltage, V=100 ~V Angular frequency, =400 rads ⁻¹ Now, X_L= L=400 0.5=200 _C= 1 C = 1 400 2 10⁻⁵ X_C=125 _L>X_C = X_L-X_C R = 200-125 150 = 75 150 =0.5 = ⁻¹(0.5)

Practice Alternating Current on Quantrex Academy →

More from Alternating Current

Consider a circuit consisting of a capacitor of capacitance C and a coil with N turns per unit length, cross sectional area S and length d , where d^2 S . There is another coil of 2026An LCR series circuit driven with E_ rms = 90 V at frequency f_d = 30 Hz has resistance R = 80 , , an inductance with inductive reactance X_L = 20.0 , and capacitance with capacitiv 2026A series LCR circuit with R = 20 , L = 1.6 H and C = 40 F is connected to a variable frequency a.c. source. The inductive reactance at resonant frequency is _______ . 2026An a.c. source of angular frequency is connected across a resistor R and a capacitor C in series. The current is observed as I . Now the frequency of the source is changed to /4 , 2026An inductor of 10 mH, capacitor of 0.1 F and a resistor of 100 are connected in series across an a.c power supply 220 V, 70 Hz. The power factor of the given circuit is 0.5 . The d 2026The figure given below shows an LCR series circuit with two switches S₁ and S₂ . When switch S₁ is closed keeping S₂ open, the phase difference ( ) between the current and source v 2026An inductor stores 16 J of magnetic field energy and dissipates 32 W of thermal energy due to its resistance when an a.c. current of 2 A (rms) and frequency 50 Hz flows through it. 2026The electric current in the circuit is given as i=i_ o (t / T) . The r.m.s current for the period t=0 to t=T is _ _ _ _ . 2026 Full Alternating Current list All 99 Percentile Qs Bank for JEE Main PYQs